Learn how to prove that a rational function is continuous at every point in its domain, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and ...

Give an example of a sequence of continuous r-valued functions on (0, 1) that converges almost uniformly to a discontinuous function, but does not converge uniformly.

Get help with your Intermediate value theorem homework. Access the answers to hundreds of Intermediate value theorem questions that are explained in a way that's easy for you to understand. …

Learn how to calculate the standard deviation of a continuous uniform distribution, and see examples that walk through sample problems step-by-step for you to improve your statistics knowledge and ...

In this lesson, learn what a moment-generating function is and how to use it to find the expected value of a function. See moment generating function properties.

Learn how to find where a function is increasing, decreasing, or constant given the graph, and see examples that walk through sample problems step-by-step for you to improve your math knowledge ...

Answer to: Find a sequence of continuous periodic functions which converge in l^ {2} to a discontinuous periodic function. By signing up, you'll get...

The second derivative test states that if f is a function with continuous second derivative, then: if c is a critical point and f (c) > 0, then c is a local minimum of f.

Integral Test Conditions The integral test for convergence can be used because taking the limit of a Riemann's sum for a function f (n), is analogous to taking the integral of the function f (x).

In order to prove the mean value theorem, one must utilize a well-known result about real-valued continuous functions called Rolle's theorem. Rolle's theorem is presented formally as follows: Theorem.